An oil (viscosity 1 Pa.s, density 800kg/m3) is flowing in an axisymmetric pipe. The flow is fully developed and laminar and the velocity at the centre of the pipe is = 30cm/s. The velocity cross-sectional profile is parabolic as: u(r) = U0(1- r2/R2) . Here r is the distance of the point to the pipe centre where the velocity is u(r). . R is radius of pipe (R=4mm). Calculate: the shear stress at the pipe wall the shear stress within the fluid 2 mm from the pipe wall the Reynold’s number of the flow

8. The A-36 steel wire AB has a cross-sectional area of 10 mm² and is unstretched when 0=45.0°. Determine the applied load P needed to cause 0=44.9°. a. 2.67 b. 2.57 с. 2.37 d. 2.47 400 mm 400 mm

Please help me in answering the following practice question. Thank you for your help. A Newtonian fluid is flowing in an infinitely long round pipe of diameter M or radius N = M/2 and inclined at angle α with the horizontal line. Consider the flow is steady (dρ/dt=0), in-compressible, and laminar. There is no applied pressure gradient (dP/dz= 0) applied along the pipe length (z-direction). The fluid flows down the pipe due to gravity alone (gravity acts vertically downward). Adopt the coordinate system with z axis along the centre line of the pipe along the pipe length.Derive an expression for the z-component of velocity u as a function of radius N and the other parameters of the problem. The density and viscosity of the fluid are ρ and u, respectively.Please list all necessary assumptions.

Please help me question 2.6

A horizontal smooth-walled cylindrical pipe has diameter 0.04 m. Water flows along the pipe with a flow rate of Q 2 x 10-4 m³ s-¹. = For water, take the kinematic viscosity as v = 10-6 m² s¹ and the 10³ kg m-³. density as p = (a) Calculate the Reynolds number and establish whether the flow is turbulent or not. (b) Show that λ = 0.035 is a good approximation of the Darcy friction factor for this flow. (c) Calculate the shear stress at the wall of the pipe, and hence find the magnitude of the drag force exerted by the water on a length 2 m of the pipe. L =

From the question he has wrote the given infomation. i dont understand how he has got that from the question